Exam 3 Study Guide

Chapter 5: 5.2 – 5.6

Factor trinomials of the forms x² + bx + c and ax² + bx + c; be able to tell the difference between these two forms to know when to use each method.

Recognize and know how to apply special factoring patterns: x² - y², x² + 2xy + y², x² - 2xy + y², x³ + y³, x³ - y³

Know how to use factoring to solve a quadratic equation

Be able to set up and solve word problems in which quadratic equations arise

Chapter 6: 6.1 – some of 6.4

Be able to find values for which a rational expression is undefined

Write rational expressions in lowest terms

Know what opposite factors are, and how to reduce them

Multiply and divide rational expressions

Find the least common denominator of two rational expressions

Add rational expressions